Steady vortex rings with swirl in an ideal fluid: asymptotics for some solutions in exterior domains.

DOI10.1023/A:1022264002206zbMath1059.76507OpenAlexW2588899129MaRDI QIDQ1775154

Tadié

Publication date: 4 May 2005

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/33023

zbMATH Keywords

swirlasymptotic behaviorpotential theoryexterior domainelliptic equationsvortex rings

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47)

Cites Work

• Symmetry and related properties via the maximum principle
• Radially symmetric functions as fixed points of some logarithmic operators
• A global theory of steady vortex rings in an ideal fluid
• Elliptic problems with axisymmetric free boundary: estimation of the diameter of the cross-section by means of capacity
• On the bifurcation of steady vortex rings from a Green function
• A family of steady vortex rings
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